TSTP Solution File: RNG075+2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : RNG075+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:36:12 EDT 2024
% Result : Theorem 52.39s 7.11s
% Output : CNFRefutation 52.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 34
% Syntax : Number of formulae : 301 ( 139 unt; 0 def)
% Number of atoms : 722 ( 214 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 736 ( 315 ~; 318 |; 77 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-2 aty)
% Number of variables : 233 ( 3 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(m__1709,hypothesis,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(m__1726,hypothesis,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1967,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(c_0_34,plain,
! [X55] :
( ~ aScalar0(X55)
| sdtlseqdt0(sz0z00,sdtasdt0(X55,X55)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).
fof(c_0_35,plain,
! [X20] :
( ( sdtpldt0(X20,sz0z00) = X20
| ~ aScalar0(X20) )
& ( sdtpldt0(sz0z00,X20) = X20
| ~ aScalar0(X20) )
& ( sdtasdt0(X20,sz0z00) = sz0z00
| ~ aScalar0(X20) )
& ( sdtasdt0(sz0z00,X20) = sz0z00
| ~ aScalar0(X20) )
& ( sdtpldt0(X20,smndt0(X20)) = sz0z00
| ~ aScalar0(X20) )
& ( sdtpldt0(smndt0(X20),X20) = sz0z00
| ~ aScalar0(X20) )
& ( smndt0(smndt0(X20)) = X20
| ~ aScalar0(X20) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
fof(c_0_36,plain,
! [X31,X32] :
( ( sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32))
| ~ aScalar0(X31)
| ~ aScalar0(X32) )
& ( sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32))
| ~ aScalar0(X31)
| ~ aScalar0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
fof(c_0_37,plain,
! [X17,X18] :
( ~ aScalar0(X17)
| ~ aScalar0(X18)
| aScalar0(sdtasdt0(X17,X18)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
fof(c_0_38,plain,
! [X19] :
( ~ aScalar0(X19)
| aScalar0(smndt0(X19)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
fof(c_0_39,plain,
! [X47,X48,X49,X50] :
( ~ aScalar0(X47)
| ~ aScalar0(X48)
| ~ aScalar0(X49)
| ~ aScalar0(X50)
| ~ sdtlseqdt0(X47,X48)
| ~ sdtlseqdt0(sz0z00,X49)
| ~ sdtlseqdt0(X49,X50)
| sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_40,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_43,plain,
! [X40,X41,X42] :
( ~ aScalar0(X40)
| ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ sdtlseqdt0(X40,X41)
| ~ sdtlseqdt0(X41,X42)
| sdtlseqdt0(X40,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])])]) ).
cnf(c_0_44,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_45,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_46,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_50,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_51,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_52,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_53,plain,
! [X75] :
( ~ aVector0(X75)
| sdtlseqdt0(sz0z00,sdtasasdt0(X75,X75)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).
fof(c_0_54,hypothesis,
! [X78] :
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ( ~ aNaturalNumber0(X78)
| sdtlbdtrb0(xp,X78) = sdtlbdtrb0(xs,X78) )
& xp = sziznziztdt0(xs) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1709])])])]) ).
fof(c_0_55,plain,
! [X21,X22,X23] :
( ( sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23))
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtpldt0(X21,X22) = sdtpldt0(X22,X21)
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23))
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtasdt0(X21,X22) = sdtasdt0(X22,X21)
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_56,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_57,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_58,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_59,hypothesis,
! [X79] :
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ( ~ aNaturalNumber0(X79)
| sdtlbdtrb0(xq,X79) = sdtlbdtrb0(xt,X79) )
& xq = sziznziztdt0(xt) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1726])])])]) ).
cnf(c_0_60,plain,
( sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_62,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_63,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_45])]) ).
fof(c_0_65,plain,
! [X43,X44,X45,X46] :
( ~ aScalar0(X43)
| ~ aScalar0(X44)
| ~ aScalar0(X45)
| ~ aScalar0(X46)
| ~ sdtlseqdt0(X43,X44)
| ~ sdtlseqdt0(X45,X46)
| sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_66,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_67,hypothesis,
sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_68,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_48]) ).
fof(c_0_69,plain,
! [X53,X54] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X53,X54))
| ~ sdtlseqdt0(sz0z00,X53)
| ~ sdtlseqdt0(sz0z00,X54)
| ~ aScalar0(X53)
| ~ aScalar0(X54) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X53,X54))
| ~ sdtlseqdt0(sz0z00,X53)
| ~ sdtlseqdt0(sz0z00,X54)
| ~ aScalar0(X53)
| ~ aScalar0(X54) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).
cnf(c_0_70,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_71,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_72,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_73,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_74,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_75,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_76,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_77,hypothesis,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_78,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_79,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_80,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X3,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_42])]) ).
cnf(c_0_81,hypothesis,
( sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_50]),c_0_42])]) ).
fof(c_0_82,plain,
! [X37] :
( ~ aScalar0(X37)
| sdtlseqdt0(X37,X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).
cnf(c_0_83,plain,
( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_84,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_85,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_86,hypothesis,
smndt0(smndt0(xR)) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_87,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_50]),c_0_51])]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_89,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(xB,smndt0(xB)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_44]),c_0_45])]) ).
cnf(c_0_91,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_92,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_93,hypothesis,
( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_45]),c_0_75])]) ).
cnf(c_0_94,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_76]),c_0_75])]) ).
cnf(c_0_95,hypothesis,
smndt0(smndt0(xS)) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_77]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_96,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_77]),c_0_57]),c_0_58])]) ).
cnf(c_0_97,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_78]),c_0_79])]) ).
cnf(c_0_98,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_76]),c_0_75])]) ).
cnf(c_0_99,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_100,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_50]),c_0_62]),c_0_42])]) ).
cnf(c_0_101,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_102,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_42])]) ).
cnf(c_0_103,hypothesis,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_104,hypothesis,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_49]),c_0_64]),c_0_89]),c_0_50]),c_0_51])]) ).
cnf(c_0_105,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_106,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_107,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_108,hypothesis,
smndt0(smndt0(xG)) = xG,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_90]),c_0_44]),c_0_45])]) ).
cnf(c_0_109,hypothesis,
aScalar0(smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_90]),c_0_45])]) ).
cnf(c_0_110,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_111,hypothesis,
sdtasdt0(xH,xB) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_44]),c_0_45])]) ).
cnf(c_0_112,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_113,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_94]),c_0_76]),c_0_75])]) ).
cnf(c_0_114,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_94]),c_0_75])]) ).
cnf(c_0_115,hypothesis,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_95]),c_0_96])]) ).
cnf(c_0_116,hypothesis,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_56]),c_0_97]),c_0_98]),c_0_57]),c_0_58])]) ).
cnf(c_0_117,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_118,hypothesis,
sdtasdt0(smndt0(xF),xD) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_56]),c_0_57]),c_0_58])]) ).
fof(c_0_119,plain,
! [X38,X39] :
( ~ aScalar0(X38)
| ~ aScalar0(X39)
| ~ sdtlseqdt0(X38,X39)
| ~ sdtlseqdt0(X39,X38)
| X38 = X39 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).
cnf(c_0_120,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xG))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_121,hypothesis,
sdtasdt0(smndt0(xC),xG) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_122,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xR))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_87]),c_0_105])]) ).
cnf(c_0_123,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_85]),c_0_52]) ).
cnf(c_0_124,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_86]),c_0_87])]) ).
fof(c_0_125,plain,
! [X33,X34] :
( ~ aScalar0(X33)
| ~ aScalar0(X34)
| sdtasdt0(smndt0(X33),smndt0(X34)) = sdtasdt0(X33,X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
fof(c_0_126,plain,
! [X15,X16] :
( ~ aScalar0(X15)
| ~ aScalar0(X16)
| aScalar0(sdtpldt0(X15,X16)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])])]) ).
fof(c_0_127,plain,
! [X24,X25,X26] :
( ( sdtasdt0(X24,sdtpldt0(X25,X26)) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26))
| ~ aScalar0(X24)
| ~ aScalar0(X25)
| ~ aScalar0(X26) )
& ( sdtasdt0(sdtpldt0(X24,X25),X26) = sdtpldt0(sdtasdt0(X24,X26),sdtasdt0(X25,X26))
| ~ aScalar0(X24)
| ~ aScalar0(X25)
| ~ aScalar0(X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])])]) ).
cnf(c_0_128,hypothesis,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_108]),c_0_109])]) ).
cnf(c_0_129,hypothesis,
sdtasdt0(xB,xH) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_45]),c_0_112])]) ).
cnf(c_0_130,hypothesis,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_113]),c_0_114])]) ).
cnf(c_0_131,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xS))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_115]),c_0_116]),c_0_96]),c_0_117])]) ).
cnf(c_0_132,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xD)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_118]),c_0_57])]),c_0_114])]) ).
cnf(c_0_133,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_95]),c_0_96])]) ).
cnf(c_0_134,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_135,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xR))
| ~ aScalar0(smndt0(xC)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_136,hypothesis,
sdtlseqdt0(smndt0(xR),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_101]),c_0_87])]) ).
cnf(c_0_137,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_138,hypothesis,
sdtpldt0(xR,sz0z00) = sdtpldt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_86]),c_0_105]),c_0_87])]) ).
cnf(c_0_139,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_140,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_141,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_142,hypothesis,
sdtpldt0(smndt0(xG),sz0z00) = sdtpldt0(sz0z00,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_128]),c_0_109]),c_0_50])]) ).
cnf(c_0_143,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_144,hypothesis,
sdtasdt0(xA,smndt0(xB)) = smndt0(xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_74]),c_0_45]),c_0_75])]) ).
cnf(c_0_145,plain,
( smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,X2),smndt0(X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_73]),c_0_48]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(xA,sdtasdt0(xA,xG)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_129]),c_0_112])]) ).
fof(c_0_147,plain,
! [X51,X52] :
( ~ aScalar0(X51)
| ~ aScalar0(X52)
| sdtlseqdt0(X51,X52)
| sdtlseqdt0(X52,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_148,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_89]),c_0_51]),c_0_42])]) ).
cnf(c_0_149,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_130]),c_0_98]),c_0_114]),c_0_58])]) ).
cnf(c_0_150,hypothesis,
sdtpldt0(smndt0(xF),sz0z00) = sdtpldt0(sz0z00,smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_130]),c_0_114]),c_0_58])]) ).
cnf(c_0_151,hypothesis,
sdtlseqdt0(smndt0(xS),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_101]),c_0_96])]) ).
cnf(c_0_152,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xS))
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_61]),c_0_62]),c_0_97]),c_0_42])]) ).
cnf(c_0_153,hypothesis,
sdtpldt0(xS,sz0z00) = sdtpldt0(sz0z00,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_133]),c_0_95]),c_0_117]),c_0_96])]) ).
cnf(c_0_154,hypothesis,
( smndt0(xR) = sz0z00
| ~ aScalar0(smndt0(xC)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_42]),c_0_87])]) ).
cnf(c_0_155,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_105])]) ).
cnf(c_0_156,hypothesis,
( sdtasdt0(smndt0(X1),xG) = sdtasdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_108]),c_0_109])]) ).
cnf(c_0_157,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_128]),c_0_64]),c_0_109]),c_0_50])]) ).
cnf(c_0_158,plain,
( aScalar0(sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_48]),c_0_48]) ).
cnf(c_0_159,hypothesis,
sdtpldt0(sz0z00,smndt0(xG)) = smndt0(xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_142]),c_0_109])]) ).
cnf(c_0_160,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_143,c_0_92]) ).
cnf(c_0_161,hypothesis,
smndt0(smndt0(xH)) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_144]),c_0_74]),c_0_45]),c_0_75])]) ).
cnf(c_0_162,hypothesis,
aScalar0(smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_144]),c_0_45]),c_0_75])]) ).
cnf(c_0_163,hypothesis,
smndt0(sdtasdt0(xH,xH)) = sdtasdt0(xF,smndt0(xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_76]),c_0_50]),c_0_75])]) ).
cnf(c_0_164,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_76]),c_0_75])]) ).
cnf(c_0_165,plain,
( smndt0(sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_73]),c_0_48]) ).
cnf(c_0_166,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_167,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X2,sz0z00)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_148]),c_0_51])]) ).
cnf(c_0_168,hypothesis,
sdtlseqdt0(smndt0(xF),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_101]),c_0_114])]) ).
cnf(c_0_169,hypothesis,
( sdtasdt0(smndt0(X1),xF) = sdtasdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_113]),c_0_114])]) ).
cnf(c_0_170,hypothesis,
sdtpldt0(sz0z00,smndt0(xF)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_150]),c_0_114])]) ).
cnf(c_0_171,hypothesis,
( smndt0(xS) = sz0z00
| ~ sdtlseqdt0(sz0z00,smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_151]),c_0_96]),c_0_42])]) ).
cnf(c_0_172,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_101]),c_0_114])]) ).
cnf(c_0_173,hypothesis,
sdtpldt0(sz0z00,xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_153]),c_0_117])]) ).
fof(c_0_174,plain,
! [X56,X57] :
( ~ aScalar0(X56)
| ~ aScalar0(X57)
| ~ sdtlseqdt0(sz0z00,X56)
| ~ sdtlseqdt0(sz0z00,X57)
| sdtasdt0(X56,X56) != sdtasdt0(X57,X57)
| X56 = X57 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).
cnf(c_0_175,hypothesis,
smndt0(xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_52]),c_0_51])]) ).
cnf(c_0_176,hypothesis,
sdtpldt0(xR,sz0z00) = xR,
inference(rw,[status(thm)],[c_0_138,c_0_155]) ).
cnf(c_0_177,hypothesis,
sdtasdt0(smndt0(xG),smndt0(xG)) = sdtasdt0(xG,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_108]),c_0_109])]) ).
cnf(c_0_178,hypothesis,
sdtlseqdt0(smndt0(xG),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_101]),c_0_109])]) ).
cnf(c_0_179,hypothesis,
( aScalar0(sdtasdt0(smndt0(xG),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_109]),c_0_42])]) ).
cnf(c_0_180,plain,
( sdtasdt0(smndt0(X1),smndt0(smndt0(X2))) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_139]),c_0_52]),c_0_52]) ).
cnf(c_0_181,plain,
( sdtasdt0(sz0z00,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_160]),c_0_42])]) ).
cnf(c_0_182,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),X3)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_42])]) ).
cnf(c_0_183,hypothesis,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_161]),c_0_162])]) ).
cnf(c_0_184,hypothesis,
sdtasdt0(xF,smndt0(xG)) = sdtasdt0(xH,smndt0(xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_163]),c_0_112])]) ).
cnf(c_0_185,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_146]),c_0_50])]) ).
cnf(c_0_186,hypothesis,
sdtasdt0(smndt0(xF),xG) = sdtasdt0(xF,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_146]),c_0_76]),c_0_50]),c_0_75])]),c_0_163]) ).
cnf(c_0_187,hypothesis,
( sdtlseqdt0(X1,xG)
| sdtlseqdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_50]) ).
cnf(c_0_188,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,smndt0(xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_114])]) ).
cnf(c_0_189,hypothesis,
aScalar0(sdtasdt0(xA,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_111]),c_0_45]),c_0_112])]) ).
cnf(c_0_190,hypothesis,
sdtasdt0(smndt0(xF),smndt0(xF)) = sdtasdt0(xF,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_113]),c_0_114])]) ).
cnf(c_0_191,hypothesis,
( sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_98]),c_0_58]),c_0_42])]) ).
cnf(c_0_192,hypothesis,
( aScalar0(sdtasdt0(smndt0(xF),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_170]),c_0_114]),c_0_42])]) ).
cnf(c_0_193,hypothesis,
smndt0(xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).
cnf(c_0_194,hypothesis,
sdtpldt0(xS,sz0z00) = xS,
inference(rw,[status(thm)],[c_0_153,c_0_173]) ).
cnf(c_0_195,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_196,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_197,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2))))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_73]),c_0_48]) ).
cnf(c_0_198,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_44]),c_0_45])]) ).
cnf(c_0_199,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),xR)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_200,hypothesis,
xR = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_175]),c_0_176]) ).
cnf(c_0_201,hypothesis,
smndt0(sdtasdt0(xG,xG)) = sdtasdt0(smndt0(xG),xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_177]),c_0_108]),c_0_109])]) ).
cnf(c_0_202,hypothesis,
( sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X1,smndt0(xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_178]),c_0_109])]) ).
cnf(c_0_203,hypothesis,
( aScalar0(smndt0(sdtasdt0(xG,X1)))
| ~ aScalar0(smndt0(smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_50])]) ).
cnf(c_0_204,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_160]),c_0_42])]) ).
cnf(c_0_205,hypothesis,
( sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(smndt0(xH),X1)
| ~ sdtlseqdt0(xH,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_162]),c_0_112])]) ).
cnf(c_0_206,hypothesis,
smndt0(sdtasdt0(xH,smndt0(xH))) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_184]),c_0_108]),c_0_185]),c_0_109]),c_0_58])]) ).
cnf(c_0_207,hypothesis,
sdtasdt0(smndt0(xF),xG) = sdtasdt0(xH,smndt0(xH)),
inference(rw,[status(thm)],[c_0_186,c_0_184]) ).
cnf(c_0_208,hypothesis,
sdtlseqdt0(xG,xG),
inference(spm,[status(thm)],[c_0_187,c_0_50]) ).
cnf(c_0_209,hypothesis,
sdtlseqdt0(smndt0(xF),xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_101]),c_0_114])]) ).
cnf(c_0_210,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_146]),c_0_189]),c_0_75])]) ).
cnf(c_0_211,hypothesis,
smndt0(sdtasdt0(xF,xF)) = sdtasdt0(smndt0(xF),xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_190]),c_0_113]),c_0_114])]) ).
cnf(c_0_212,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xF))
| ~ sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_191]),c_0_58]),c_0_62]),c_0_42])]) ).
cnf(c_0_213,hypothesis,
( aScalar0(smndt0(sdtasdt0(xF,X1)))
| ~ aScalar0(smndt0(smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_180]),c_0_58])]) ).
cnf(c_0_214,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_99]) ).
cnf(c_0_215,hypothesis,
( sdtpldt0(xS,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_216,hypothesis,
xS = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_193]),c_0_194]) ).
cnf(c_0_217,hypothesis,
( sdtpldt0(xR,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_218,hypothesis,
( X1 = xG
| sdtasdt0(X1,X1) != sdtasdt0(xG,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_64]),c_0_50])]) ).
cnf(c_0_219,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xG,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_44]),c_0_45]),c_0_44]),c_0_50])]) ).
cnf(c_0_220,hypothesis,
( sdtlseqdt0(sdtasdt0(X1,X2),sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,xG)
| ~ sdtlseqdt0(X1,xC)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_221,hypothesis,
sdtasdt0(smndt0(xG),xG) = sdtasdt0(xG,smndt0(xG)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_177]),c_0_108]),c_0_109])]),c_0_201]) ).
cnf(c_0_222,hypothesis,
sdtlseqdt0(smndt0(xG),xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_101]),c_0_109])]) ).
cnf(c_0_223,hypothesis,
( sdtasdt0(smndt0(xG),X1) = sdtasdt0(xG,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_108]),c_0_109])]) ).
cnf(c_0_224,hypothesis,
aScalar0(smndt0(sdtasdt0(xG,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_108]),c_0_50])]) ).
cnf(c_0_225,plain,
( X1 = sz0z00
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_101]),c_0_42])]),c_0_204]) ).
cnf(c_0_226,hypothesis,
( sdtlseqdt0(sz0z00,smndt0(xH))
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_101]),c_0_162])]) ).
cnf(c_0_227,hypothesis,
sdtasdt0(smndt0(xH),smndt0(xH)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_206]),c_0_162]),c_0_112])]) ).
cnf(c_0_228,hypothesis,
sdtlseqdt0(sdtasdt0(xH,smndt0(xH)),xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_207]),c_0_64]),c_0_208]),c_0_209]),c_0_50]),c_0_114])]) ).
cnf(c_0_229,hypothesis,
aScalar0(sdtasdt0(xF,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_163]),c_0_210])]) ).
cnf(c_0_230,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sz0z00
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_47]),c_0_48]) ).
cnf(c_0_231,hypothesis,
sdtasdt0(smndt0(xF),xF) = sdtasdt0(xF,smndt0(xF)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_190]),c_0_113]),c_0_114])]),c_0_211]) ).
cnf(c_0_232,hypothesis,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,xF))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_101]) ).
cnf(c_0_233,hypothesis,
( sdtasdt0(smndt0(xF),X1) = sdtasdt0(xF,smndt0(X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_113]),c_0_114])]) ).
cnf(c_0_234,hypothesis,
aScalar0(smndt0(sdtasdt0(xF,xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_113]),c_0_58])]) ).
cnf(c_0_235,hypothesis,
( aScalar0(sdtasdt0(xF,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_214]),c_0_58])]) ).
cnf(c_0_236,hypothesis,
( sdtpldt0(sz0z00,sdtasdt0(X1,xD)) = sdtasdt0(sdtpldt0(xF,X1),xD)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_237,hypothesis,
( sdtpldt0(sz0z00,sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(xG,X1))
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_217,c_0_200]) ).
cnf(c_0_238,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_239,hypothesis,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(sdtasdt0(xG,xG),sdtasdt0(xG,xG)) != sdtasdt0(xG,xG)
| ~ aScalar0(sdtasdt0(xG,xG)) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_240,hypothesis,
( aScalar0(sdtasdt0(xG,smndt0(X1)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_214]),c_0_50])]) ).
cnf(c_0_241,hypothesis,
sdtlseqdt0(sdtasdt0(xG,smndt0(xG)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_64]),c_0_208]),c_0_222]),c_0_50]),c_0_109])]) ).
cnf(c_0_242,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_223]),c_0_109]),c_0_50])]) ).
cnf(c_0_243,hypothesis,
aScalar0(sdtasdt0(xG,smndt0(xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_47]),c_0_50])]) ).
cnf(c_0_244,hypothesis,
( smndt0(xH) = sz0z00
| sdtasdt0(xH,xH) != sz0z00
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_162])]) ).
cnf(c_0_245,hypothesis,
( sdtlseqdt0(X1,xH)
| sdtlseqdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_112]) ).
cnf(c_0_246,hypothesis,
sdtlseqdt0(sdtasdt0(xH,smndt0(xH)),sz0z00),
inference(rw,[status(thm)],[c_0_228,c_0_200]) ).
cnf(c_0_247,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xH,smndt0(xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_207]),c_0_114])]) ).
cnf(c_0_248,hypothesis,
aScalar0(sdtasdt0(xH,smndt0(xH))),
inference(rw,[status(thm)],[c_0_229,c_0_184]) ).
cnf(c_0_249,hypothesis,
( X1 = xF
| sdtasdt0(X1,X1) != sdtasdt0(xF,xF)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_98]),c_0_58])]) ).
cnf(c_0_250,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xF,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_164]),c_0_76]),c_0_75]),c_0_76]),c_0_58])]) ).
cnf(c_0_251,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_137]),c_0_42])]) ).
cnf(c_0_252,hypothesis,
sdtpldt0(sdtasdt0(xF,xF),sdtasdt0(xF,smndt0(xF))) = sz0z00,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_190]),c_0_113]),c_0_114])]),c_0_231]) ).
cnf(c_0_253,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xF,smndt0(xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_114]),c_0_58])]) ).
cnf(c_0_254,hypothesis,
aScalar0(sdtasdt0(xF,smndt0(xF))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_47]),c_0_58])]) ).
cnf(c_0_255,hypothesis,
aScalar0(sdtasdt0(xF,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_113]),c_0_114])]) ).
cnf(c_0_256,hypothesis,
( sdtpldt0(sdtasdt0(X1,xD),xS) = sdtasdt0(sdtpldt0(X1,xF),xD)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_257,hypothesis,
( sdtpldt0(sdtasdt0(xC,X1),xR) = sdtasdt0(xC,sdtpldt0(X1,xG))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_258,hypothesis,
sdtasdt0(sdtpldt0(xF,xC),xD) = sdtasdt0(xC,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_51]),c_0_57])]) ).
cnf(c_0_259,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_92]) ).
cnf(c_0_260,hypothesis,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(xG,sdtasdt0(xG,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG)
| ~ aScalar0(sdtasdt0(xG,xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_73]),c_0_50])]) ).
cnf(c_0_261,hypothesis,
aScalar0(sdtasdt0(xG,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_108]),c_0_109])]) ).
cnf(c_0_262,hypothesis,
sdtasdt0(xG,smndt0(xG)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_241]),c_0_242]),c_0_243]),c_0_42])]) ).
cnf(c_0_263,plain,
( sdtasdt0(smndt0(X1),sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_61]),c_0_160]),c_0_42])]) ).
cnf(c_0_264,hypothesis,
( xH = sz0z00
| sdtasdt0(xH,xH) != sz0z00
| ~ sdtlseqdt0(xH,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_244]),c_0_160]),c_0_112])]) ).
cnf(c_0_265,hypothesis,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(spm,[status(thm)],[c_0_245,c_0_42]) ).
cnf(c_0_266,hypothesis,
sdtasdt0(xH,smndt0(xH)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_246]),c_0_247]),c_0_248]),c_0_42])]) ).
cnf(c_0_267,hypothesis,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(sdtasdt0(xF,xF),sdtasdt0(xF,xF)) != sdtasdt0(xF,xF)
| ~ aScalar0(sdtasdt0(xF,xF)) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_268,plain,
( sdtasdt0(X1,X1) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_40]),c_0_42])]) ).
cnf(c_0_269,hypothesis,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,sdtasdt0(xF,xF))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254]),c_0_255])]) ).
cnf(c_0_270,hypothesis,
( sdtpldt0(sdtasdt0(X1,xD),sz0z00) = sdtasdt0(sdtpldt0(X1,xF),xD)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_256,c_0_216]) ).
cnf(c_0_271,hypothesis,
( sdtpldt0(sdtasdt0(xC,X1),sz0z00) = sdtasdt0(xC,sdtpldt0(X1,xG))
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[c_0_257,c_0_200]) ).
cnf(c_0_272,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_51]),c_0_58])]) ).
cnf(c_0_273,hypothesis,
( sdtasdt0(xG,xG) = xG
| sdtasdt0(xG,sdtasdt0(xG,sdtasdt0(xG,xG))) != sdtasdt0(xG,xG) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261])]) ).
cnf(c_0_274,hypothesis,
sdtasdt0(xG,xG) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_262]),c_0_160]),c_0_108]),c_0_109]),c_0_50])]) ).
cnf(c_0_275,hypothesis,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_108]),c_0_109])]) ).
fof(c_0_276,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_277,hypothesis,
( xH = sz0z00
| sdtlseqdt0(sz0z00,xH)
| sdtasdt0(xH,xH) != sz0z00 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_278,hypothesis,
sdtasdt0(xH,xH) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_266]),c_0_160]) ).
cnf(c_0_279,hypothesis,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(xF,sdtasdt0(xF,sdtasdt0(xF,xF))) != sdtasdt0(xF,xF)
| ~ aScalar0(sdtasdt0(xF,xF)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_73]),c_0_58])]) ).
cnf(c_0_280,hypothesis,
( sdtasdt0(xF,xF) = sz0z00
| ~ sdtlseqdt0(sdtasdt0(xF,xF),sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_233]),c_0_113]),c_0_113]),c_0_113]),c_0_255]),c_0_114])]) ).
cnf(c_0_281,hypothesis,
sdtlseqdt0(sdtasdt0(xF,xF),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_101]),c_0_255])]) ).
cnf(c_0_282,hypothesis,
sdtasdt0(xC,sdtpldt0(xG,xD)) = sdtasdt0(xC,sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]),c_0_51]),c_0_57])]) ).
cnf(c_0_283,hypothesis,
xG = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274]),c_0_274]),c_0_275]),c_0_275]),c_0_274])]) ).
fof(c_0_284,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(fof_nnf,[status(thm)],[c_0_276]) ).
cnf(c_0_285,hypothesis,
( xH = sz0z00
| sdtlseqdt0(sz0z00,xH) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_278])]) ).
cnf(c_0_286,hypothesis,
( sdtasdt0(xF,xF) = xF
| sdtasdt0(xF,sdtasdt0(xF,sdtasdt0(xF,xF))) != sdtasdt0(xF,xF) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_255])]) ).
cnf(c_0_287,hypothesis,
sdtasdt0(xF,xF) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_281])]) ).
cnf(c_0_288,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_113]),c_0_114])]) ).
cnf(c_0_289,hypothesis,
sdtasdt0(xC,sdtpldt0(xD,sz0z00)) = sdtasdt0(xC,sdtpldt0(sz0z00,xD)),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_290,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_291,hypothesis,
xH = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_285]),c_0_278]),c_0_112])]) ).
cnf(c_0_292,hypothesis,
xF = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_287]),c_0_287]),c_0_288]),c_0_288]),c_0_287])]) ).
cnf(c_0_293,hypothesis,
sdtasdt0(sdtpldt0(xC,xF),xD) = sdtasdt0(xC,sdtpldt0(xD,xG)),
inference(rw,[status(thm)],[c_0_272,c_0_282]) ).
cnf(c_0_294,hypothesis,
sdtasdt0(xC,sdtpldt0(sz0z00,xD)) = sdtasdt0(xC,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_137]),c_0_57])]) ).
cnf(c_0_295,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sz0z00),sdtpldt0(xE,sz0z00)),sdtasdt0(sdtpldt0(xC,sz0z00),sdtpldt0(xD,sz0z00))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]),c_0_283]) ).
cnf(c_0_296,hypothesis,
sdtasdt0(sdtpldt0(xC,sz0z00),xD) = sdtasdt0(xC,xD),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_292]),c_0_283]),c_0_289]),c_0_294]) ).
cnf(c_0_297,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,sz0z00),sdtpldt0(xE,sz0z00)),sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_137]),c_0_296]),c_0_57])]) ).
cnf(c_0_298,hypothesis,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(split_conjunct,[status(thm)],[m__1967]) ).
cnf(c_0_299,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_300,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_137]),c_0_298]),c_0_299])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG075+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 12:09:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.39/7.11 # Version: 3.1.0
% 52.39/7.11 # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.39/7.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.39/7.11 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.39/7.11 # Starting new_bool_3 with 300s (1) cores
% 52.39/7.11 # Starting new_bool_1 with 300s (1) cores
% 52.39/7.11 # Starting sh5l with 300s (1) cores
% 52.39/7.11 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 18870 completed with status 0
% 52.39/7.11 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 52.39/7.11 # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.39/7.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.39/7.11 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.39/7.11 # No SInE strategy applied
% 52.39/7.11 # Search class: FGHSF-FFMM21-MFFFFFNN
% 52.39/7.11 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 52.39/7.11 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 52.39/7.11 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 52.39/7.11 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 52.39/7.11 # Starting new_bool_3 with 136s (1) cores
% 52.39/7.11 # Starting new_bool_1 with 136s (1) cores
% 52.39/7.11 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18874 completed with status 0
% 52.39/7.11 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 52.39/7.11 # Preprocessing class: FSLSSMSMSSSNFFN.
% 52.39/7.11 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.39/7.11 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 52.39/7.11 # No SInE strategy applied
% 52.39/7.11 # Search class: FGHSF-FFMM21-MFFFFFNN
% 52.39/7.11 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 52.39/7.11 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 52.39/7.11 # Preprocessing time : 0.002 s
% 52.39/7.11 # Presaturation interreduction done
% 52.39/7.11
% 52.39/7.11 # Proof found!
% 52.39/7.11 # SZS status Theorem
% 52.39/7.11 # SZS output start CNFRefutation
% See solution above
% 52.39/7.11 # Parsed axioms : 58
% 52.39/7.11 # Removed by relevancy pruning/SinE : 0
% 52.39/7.11 # Initial clauses : 96
% 52.39/7.11 # Removed in clause preprocessing : 5
% 52.39/7.11 # Initial clauses in saturation : 91
% 52.39/7.11 # Processed clauses : 20432
% 52.39/7.11 # ...of these trivial : 2133
% 52.39/7.11 # ...subsumed : 11030
% 52.39/7.11 # ...remaining for further processing : 7269
% 52.39/7.11 # Other redundant clauses eliminated : 3
% 52.39/7.11 # Clauses deleted for lack of memory : 0
% 52.39/7.11 # Backward-subsumed : 329
% 52.39/7.11 # Backward-rewritten : 4754
% 52.39/7.11 # Generated clauses : 375338
% 52.39/7.11 # ...of the previous two non-redundant : 335203
% 52.39/7.11 # ...aggressively subsumed : 0
% 52.39/7.11 # Contextual simplify-reflections : 157
% 52.39/7.11 # Paramodulations : 375307
% 52.39/7.11 # Factorizations : 0
% 52.39/7.11 # NegExts : 0
% 52.39/7.11 # Equation resolutions : 31
% 52.39/7.11 # Disequality decompositions : 0
% 52.39/7.11 # Total rewrite steps : 899929
% 52.39/7.11 # ...of those cached : 898636
% 52.39/7.11 # Propositional unsat checks : 1
% 52.39/7.11 # Propositional check models : 0
% 52.39/7.11 # Propositional check unsatisfiable : 0
% 52.39/7.11 # Propositional clauses : 0
% 52.39/7.11 # Propositional clauses after purity: 0
% 52.39/7.11 # Propositional unsat core size : 0
% 52.39/7.11 # Propositional preprocessing time : 0.000
% 52.39/7.11 # Propositional encoding time : 0.354
% 52.39/7.11 # Propositional solver time : 0.290
% 52.39/7.11 # Success case prop preproc time : 0.000
% 52.39/7.11 # Success case prop encoding time : 0.000
% 52.39/7.11 # Success case prop solver time : 0.000
% 52.39/7.11 # Current number of processed clauses : 2092
% 52.39/7.11 # Positive orientable unit clauses : 785
% 52.39/7.11 # Positive unorientable unit clauses: 0
% 52.39/7.11 # Negative unit clauses : 4
% 52.39/7.11 # Non-unit-clauses : 1303
% 52.39/7.11 # Current number of unprocessed clauses: 305850
% 52.39/7.11 # ...number of literals in the above : 1204820
% 52.39/7.11 # Current number of archived formulas : 0
% 52.39/7.11 # Current number of archived clauses : 5174
% 52.39/7.11 # Clause-clause subsumption calls (NU) : 2906030
% 52.39/7.11 # Rec. Clause-clause subsumption calls : 962708
% 52.39/7.11 # Non-unit clause-clause subsumptions : 11466
% 52.39/7.11 # Unit Clause-clause subsumption calls : 196741
% 52.39/7.11 # Rewrite failures with RHS unbound : 0
% 52.39/7.11 # BW rewrite match attempts : 657
% 52.39/7.11 # BW rewrite match successes : 133
% 52.39/7.11 # Condensation attempts : 0
% 52.39/7.11 # Condensation successes : 0
% 52.39/7.11 # Termbank termtop insertions : 12418848
% 52.39/7.11 # Search garbage collected termcells : 915
% 52.39/7.11
% 52.39/7.11 # -------------------------------------------------
% 52.39/7.11 # User time : 6.253 s
% 52.39/7.11 # System time : 0.240 s
% 52.39/7.11 # Total time : 6.493 s
% 52.39/7.11 # Maximum resident set size: 1980 pages
% 52.39/7.11
% 52.39/7.11 # -------------------------------------------------
% 52.39/7.11 # User time : 31.731 s
% 52.39/7.11 # System time : 0.761 s
% 52.39/7.11 # Total time : 32.492 s
% 52.39/7.11 # Maximum resident set size: 1760 pages
% 52.39/7.11 % E---3.1 exiting
% 52.39/7.11 % E exiting
%------------------------------------------------------------------------------